Can you answer all of these?

Show all your work. No work = No credit MULTIPLE CHOICE- 1) Which of the following represents the shaded area in the Venn diagram below? A) B' A B B) A C B - A DJ A - B 2) Given A = {1, 3, 6, 8, 9, 12, 15} and B = (6, 9, 12}, which is TRUE? A) B is the complement of A. B) AnB = 0 C) A and B are disjoint sets. DJ BCA 3) If A = {0, 2, 3, 4, 9, 1 1 } and B = {2, 3, 6, 8, 9, 10}, then find A - B. A) {0, 2, 3, 4, 8, 9, 10, 11} B) {0, 4, 11} C) (2, 3, 0} D) (6, 8, 10} 4) For which of the following is An B = 0? A) A = Vegetable and B = { Carrots, Peas} B) A = Fruits and B = { Apples, Pears} C) A = Fruits and B = Vegetables D) A= Vegetables and B = Green Vegetables 5) If the set B has 127 proper subsets, then set B has how many elements? A 4 B) 5 C) 6 D) 76) In a survey, 11 1 people were asked what type of movies they liked. Of those surveyed, 61 people liked dramas, 78 people liked comedies, and 14 people liked neither. How many people liked both types of shows? A) 19 B) 42 C) 47 D) 50 7) Which sets are disjoint? 5 A A) A and B B C 4 B) A and C 3 C) A and U 1 6 10 DJ Band C 8 11 U 8) Find n(RUB). Rugby Boxing (Note: R = rugby and B = boxing) 14 A) 11 17 15 B) 17 C 46 D) 57 11 9) The diagrams below represent a class of children. G is the set of girls and F is the set of children who like fencing. Which diagram is the shading that represents boys who like fencing? A) Diagram A G G F B) Diagram B C) Diagram C Diagram A Diagram B D) Diagram D G G Diagram C Diagram D10) Choose ALL the statements that are TRUE. Assume A and B are not equivalent sets and each contains at least one element. A) AnB= BnA B) A-B =B-A C) (BnA)' = B'nA' D) (AUB)' = A'nB' E) Oco F) And = A 11) What is (BUC)'? U B C A) {20, 30} 60 30 90 B) {10, 50, 65) 85 20 75 C) {10, 50, 60, 65, 70, 75, 85, 90} 70 D) {20, 30, 60, 70, 75, 85, 90} 10 50 65 12) There are 25 elements in a universal set. If n(A) = 14, n(B) = 15 and n(AnB) =6, what is n(AUB)? A) 2 B) 19 C) 23 DJ 29 13) Suppose set A has 5 elements. How many subsets does A have? A) 5 B) 10 C) 25 D) 32 14) Which of the following represent A c B? A) B) B A B A C) D) A B15) Suppose A = {a, b, c, d, e, f}. }. Insert the appropriate symbol E, #, C, or & in the blank space. P A A) E B) $ C) C D) $ 16) Which is the set builder notation for A = {2, 4, 6, 8, 10} A) { x x E Q, 0